Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152 (1 point) Responses 30th percentile = 105 90th percentile = 200 30th percentile = 105 90th percentile = 200 30th percentile = 113 90th percentile = 200 30th percentile = 113 90th percentile = 200 30th percentile = 105 90th percentile = 176 30th percentile = 105 90th percentile = 176 30th percentile = 113 90th percentile = 176
To find the 30th percentile, first arrange the data in ascending order: 100, 100, 105, 113, 129, 132, 146, 152, 176, 200.
Since the 30th percentile corresponds to 30% of the data, and there are 10 data points, we need to find the 3rd value in the ordered list to get the 30th percentile: 105.
To find the 90th percentile, we follow the same logic. The 90th percentile corresponds to 90% of the data, so we need to find the 9th value in the ordered list: 200.
Therefore, the correct responses are:
30th percentile = 105
90th percentile = 200